CPM Homework Help : CALC3RD Problem 8-83

Multiple Choice: If $x^2 -2xy = 8$ , then when $x = 2$ , $\frac { d y } { d x }=$

$-\frac { 1 } { 2 }$

$\frac { 1 } { 2 }$

$\frac { 3 } { 2 }$

$-\frac { 3 } { 2 }$

undefined

Hint:

$\text{Becuase you will use implicit differentiation to find }\frac{dy}{dx},$

the derivative might have both $x$ and $y$ variables in it.
So be prepared for the final step: you will need to know what $y$ -variable corresponds with $x = 2$ on the given graph.